Ildar Gaisin "Constructibility and reflexivity in non-Archimedean geometry" 16h-17h

mercredi 4 octobre 2017 de au (Europe/Paris)
at IHP ( Salle 314 )

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Ildar Gaisin (IHES)

Constructibility and reflexivity in non-Archimedean geometry

We introduce a notion of constructibility for étale sheaves with torsion coefficients over a suitable class of adic spaces. This notion is related to the classical notion of constructibility for schemes via the nearby cycles functor. We use the work of R. Huber to define an adic Verdier dual and investigate the extent to which we have a 6-functor formalism in this context. We attempt to classify those sheaves which are reflexive with respect to the adic Verdier dual. This is joint work with John Weilliaveetil.

Organisé par Arthur Forey (Université Paris VI) Matthieu Kochersperger (Ecole Polytechnique) Salim Tayou (Université Paris-Sud)
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